What is the Least Common Multiple of 83624 and 83630?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83624 and 83630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83624 and 83630, than apply into the LCM equation.

GCF(83624,83630) = 2
LCM(83624,83630) = ( 83624 × 83630) / 2
LCM(83624,83630) = 6993475120 / 2
LCM(83624,83630) = 3496737560

Least Common Multiple (LCM) of 83624 and 83630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83624 and 83630. First we will calculate the prime factors of 83624 and 83630.

Prime Factorization of 83624

Prime Factorization of 83630

Now multiplying the highest exponent prime factors to calculate the LCM of 83624 and 83630.

LCM(83624,83630) = 2³ × 10453¹ × 5¹ × 8363¹
LCM(83624,83630) = 3496737560